Abstract

In this paper, we consider the asymptotic behavior of positive solutions of the biharmonic equation Δ2u=upinB2∖{0} with an isolated singularity, where the punctured ball B2∖{0}⊂Rn with n>5 and p>(n+4)/(n−4). We classify isolated singularities of positive solutions and describe the asymptotic behavior of positive singular solutions without the sign assumption for −Δu.

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